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Finding the Third Proportional to 862,471,812.66 and 1,876,056,765.26

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Solution

The third proportional to 862,471,812.66 and 1,876,056,765.26 is: 4,080,816,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,471,812.66 : 1,876,056,765.26 = 1,876,056,765.26 : x
  2. Step 2: Convert to fraction form
    862,471,812.66/1,876,056,765.26 = 1,876,056,765.26/x
  3. Step 3: Cross multiply
    862,471,812.66x = 1,876,056,765.26 × 1,876,056,765.26
  4. Step 4: Simplify right side
    862,471,812.66x = 3,519,588,986,469,560,320
  5. Step 5: Solve for x
    x = 3,519,588,986,469,560,320/862,471,812.66
  6. Step 6: Final answer
    x = 4,080,816,247.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.